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Finding the Third Proportional to 6,948.28 and 7,601.34

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Solution

The third proportional to 6,948.28 and 7,601.34 is: 8,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.28 : 7,601.34 = 7,601.34 : x
  2. Step 2: Convert to fraction form
    6,948.28/7,601.34 = 7,601.34/x
  3. Step 3: Cross multiply
    6,948.28x = 7,601.34 × 7,601.34
  4. Step 4: Simplify right side
    6,948.28x = 57,780,426.81
  5. Step 5: Solve for x
    x = 57,780,426.81/6,948.28
  6. Step 6: Final answer
    x = 8,315.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.